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Finding the Fourth Proportional to 1,510.88, 2,086.44 and 988.16

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Solution

The fourth proportional to 1,510.88, 2,086.44 and 988.16 is: 1,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.88 : 2,086.44 = 988.16 : x
  2. Step 2: Convert to fraction form
    1,510.88/2,086.44 = 988.16/x
  3. Step 3: Cross multiply
    1,510.88x = 2,086.44 × 988.16
  4. Step 4: Simplify right side
    1,510.88x = 2,061,736.55
  5. Step 5: Solve for x
    x = 2,061,736.55/1,510.88
  6. Step 6: Final answer
    x = 1,364.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.